Details

analyze974.0ms (7.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.4s (19.1%)

Results

1.9s	8256×	body	256	valid
483.0ms	2724×	body	256	invalid

preprocess78.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

811×	`div-sub_binary64`
499×	`sub-neg_binary64`
355×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
293×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	112	143
2	283	143
3	926	133
4	3020	121
5	6107	121
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 y (/.f64 x (/.f64 a (-.f64 z t))))
(-.f64 y (*.f64 (/.f64 x a) (-.f64 z t)))
(-.f64 y (*.f64 (-.f64 z t) (/.f64 x a)))
(fma.f64 (/.f64 x a) (-.f64 t z) y)
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 z (/.f64 y (/.f64 a (-.f64 x t))))
(-.f64 z (*.f64 (/.f64 y a) (-.f64 x t)))
(-.f64 z (*.f64 (-.f64 x t) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 x t) z)
(fma.f64 (/.f64 y a) (-.f64 t x) z)
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 t (*.f64 (/.f64 y a) (-.f64 z x)))
(-.f64 t (*.f64 (-.f64 z x) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 z x) t)
(fma.f64 (/.f64 y a) (-.f64 x z) t)
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 a (/.f64 y (/.f64 x (-.f64 z t))))
(-.f64 a (*.f64 (/.f64 y x) (-.f64 z t)))
(-.f64 a (*.f64 (-.f64 z t) (/.f64 y x)))
(fma.f64 (/.f64 y x) (-.f64 t z) a)
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 z (/.f64 a (-.f64 y t))))
(-.f64 x (*.f64 (/.f64 z a) (-.f64 y t)))
(-.f64 x (*.f64 (/.f64 (-.f64 y t) a) z))
(-.f64 x (*.f64 z (/.f64 (-.f64 y t) a)))
(fma.f64 (/.f64 z a) (-.f64 t y) x)
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 t (/.f64 a (-.f64 z y))))
(-.f64 x (*.f64 (/.f64 t a) (-.f64 z y)))
(-.f64 x (*.f64 (-.f64 z y) (/.f64 t a)))
(fma.f64 (/.f64 (neg.f64 t) a) (-.f64 z y) x)
(fma.f64 (/.f64 t a) (-.f64 y z) x)
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 (/.f64 a y) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 a y)))
(fma.f64 (/.f64 a y) (-.f64 t z) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(-.f64 x (*.f64 (-.f64 t z) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 z t) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (-.f64 a t) (/.f64 z y)))
(-.f64 x (*.f64 (-.f64 a t) (/.f64 y z)))
(-.f64 x (*.f64 y (/.f64 (-.f64 a t) z)))
(fma.f64 (/.f64 y z) (-.f64 t a) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z a)))
(-.f64 x (*.f64 (-.f64 z a) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z a) t)))
(fma.f64 (/.f64 y t) (-.f64 a z) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.8b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	5.8b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 27 to 17 computations (37% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z t))
✓	0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	7.2b	(/.f64 (*.f64 y (-.f64 z t)) a)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series19.0ms (0.2%)

Counts

3 → 120

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
1.0ms	t	@	inf	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	y	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	z	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	y	@	inf	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff_binary64`
637×	`log-prod_binary64`
369×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	226	30
2	3454	30

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(*.f64 y (-.f64 z t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 y a) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y a) (-.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 a (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (-.f64 z t) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 z t) (.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (-.f64 z t)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y a) (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y a) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2)) (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (.f64 (cbrt.f64 (.f64 y (-.f64 z t))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (-.f64 z t))) (.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 z t) (neg.f64 y)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 y (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (-.f64 z t) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y a) (-.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (.f64 y (-.f64 z t))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) 1) (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 z t) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 y (-.f64 z t)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 a)) (/.f64 (-.f64 z t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y (-.f64 z t)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 y (-.f64 z t))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a y) (-.f64 z t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 y (-.f64 z t)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 y a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 y a) (-.f64 z t))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (.f64 (-.f64 z t) (neg.f64 y)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (/.f64 (.f64 (-.f64 z t) (neg.f64 y)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (/.f64 1 a)) (.f64 y (-.f64 z t)) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (/.f64 (.f64 (-.f64 z t) (neg.f64 y)) a) 1 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2)) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (+.f64 (/.f64 (.f64 (-.f64 z t) (neg.f64 y)) a) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 -1 (.f64 (/.f64 y a) (-.f64 z t)) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2))) (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (.f64 (-.f64 z t) (neg.f64 y)) (/.f64 1 a) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (/.f64 (-.f64 z t) (sqrt.f64 a))) (/.f64 y (sqrt.f64 a)) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (/.f64 y (sqrt.f64 a))) (/.f64 (-.f64 z t) (sqrt.f64 a)) (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (-.f64 z t) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z t))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) y) (fma.f64 t (+.f64 z t) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 t t)) y) (+.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (fma.f64 t (+.f64 z t) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 t t))) (+.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 z t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 z t) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 y (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 (neg.f64 t) y))))))

simplify137.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
488×	`fma-def_binary64`
274×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
116×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1349
1	102	1158
2	214	1148
3	468	1058
4	1148	1058
5	2592	1058
6	3353	1058
7	3547	1058
8	3613	1058
9	3623	1058
10	3627	1058

Stop Event

1×

saturated

Counts

386 → 300

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (neg.f64 (*.f64 y t)) a)
(/.f64 (*.f64 y (neg.f64 t)) a)
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (neg.f64 (*.f64 y t)) a)
(/.f64 (*.f64 y (neg.f64 t)) a)
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (neg.f64 (*.f64 y t)) a)
(/.f64 (*.f64 y (neg.f64 t)) a)
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
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(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)

Compiler

Compiled 26 to 8 computations (69.2% saved)

series9.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	y	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	-inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	-inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
525×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
284×	`pow2_binary64`
214×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	197	11
2	2841	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(fma.f64 y (/.f64 (-.f64 t z) a) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (/.f64 (-.f64 t z) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (/.f64 (-.f64 t z) a) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (/.f64 (-.f64 t z) a)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (/.f64 (-.f64 t z) a) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (/.f64 (-.f64 t z) a)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y (/.f64 (-.f64 t z) a)) 2) (-.f64 (.f64 x x) (.f64 (.f64 y (/.f64 (-.f64 t z) a)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (/.f64 (-.f64 t z) a)) 2) (.f64 x x)) (-.f64 (.f64 y (/.f64 (-.f64 t z) a)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 y (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 y (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 y (/.f64 (-.f64 t z) a))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (-.f64 t z) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (/.f64 (-.f64 t z) a) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 (-.f64 t z) a) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 (-.f64 t z) a)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 2) (*.f64 x x)) (-.f64 (*.f64 y (/.f64 (-.f64 t z) a)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 y (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 y (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (/.f64 (-.f64 t z) a))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (/.f64 (-.f64 t z) a) x)) 1))))))

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
562×	`fma-def_binary64`
253×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	740
1	53	739
2	102	590
3	200	590
4	378	590
5	612	590
6	1069	590
7	1693	590
8	2645	590
9	3362	590
10	3457	590
11	3471	590
12	3476	590
13	3480	590

Stop Event

1×

saturated

Counts

90 → 47

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(fma.f64 (neg.f64 y) (/.f64 z a) x)
(fma.f64 (/.f64 z a) (neg.f64 y) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 y a) t))
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (*.f64 (neg.f64 z) y) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (*.f64 (neg.f64 z) y) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y a) x)

eval96.0ms (0.8%)

Compiler: Compiled 9111 to 2449 computations (73.1% saved)

prune70.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	335	12	347
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	337	12	349

Error

Counts

349 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	49.3b	(*.f64 y (/.f64 (neg.f64 z) a))
	24.4b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) 2))
	39.0b	(/.f64 (*.f64 y (-.f64 t z)) a)
	17.1b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
▶	48.4b	(/.f64 z (/.f64 a (neg.f64 y)))
	29.1b	x
	50.5b	(*.f64 y (/.f64 t a))
	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
▶	50.4b	(*.f64 t (/.f64 y a))
▶	50.9b	(/.f64 (*.f64 y t) a)
▶	16.2b	(-.f64 x (*.f64 y (/.f64 z a)))
▶	5.8b	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))

Compiler

Compiled 274 to 191 computations (30.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (-.f64 z t))
✓	0.0b	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
✓	7.3b	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
1.0ms	y	@	inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
0.0ms	y	@	inf	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
0.0ms	y	@	-inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`log-prod_binary64`
408×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	263	23
2	3748	23

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 z t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 y a)) (*.f64 (neg.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y a) z) (*.f64 (/.f64 y a) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z t) (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 z t)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z t))) 2) (/.f64 a (cbrt.f64 (*.f64 y (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y (-.f64 z t))) (/.f64 a (sqrt.f64 (*.f64 y (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (-.f64 z t))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 z t)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (-.f64 z t)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (-.f64 z t))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (-.f64 z t)) -1) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y a) (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (fma.f64 t (+.f64 z t) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y a) (-.f64 (*.f64 z z) (*.f64 t t))) (+.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y (-.f64 z t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 z t) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 y a) (*.f64 (neg.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y a) z (*.f64 (/.f64 y a) (neg.f64 t)))))))

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t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 z t) (/.f64 y a)) (fma.f64 (-.f64 z t) (/.f64 y a) x) (*.f64 x x))) (fma.f64 (neg.f64 (-.f64 z t)) (/.f64 y a) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 2)) (/.f64 1 (fma.f64 (-.f64 z t) (/.f64 y a) x)) (fma.f64 (neg.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 1 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 2)) (/.f64 1 (fma.f64 (-.f64 z t) (/.f64 y a) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 2) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 2)) (/.f64 1 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((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (fma.f64 (neg.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 1 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 2) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (fma.f64 (/.f64 -1 a) (*.f64 y (-.f64 z t)) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (fma.f64 (neg.f64 (-.f64 z t)) (/.f64 y a) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 2)) (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 y a)) (-.f64 z t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 a) 1) (*.f64 y (-.f64 z t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 a) y) (-.f64 z t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 a) (-.f64 z t)) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 a) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 z t))) 2)) (cbrt.f64 (*.f64 y (-.f64 z t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 a) (sqrt.f64 (*.f64 y (-.f64 z t)))) (sqrt.f64 (*.f64 y (-.f64 z t))) x)))))

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-def_binary64`
730×	`fma-neg_binary64`
281×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
109×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1205
1	94	1158
2	206	1148
3	458	1058
4	1125	1058
5	2537	1058
6	3552	1058
7	3883	1058
8	3993	1058
9	4000	1058
10	4000	1058

Stop Event

1×

saturated

Counts

256 → 175

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Outputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 t (neg.f64 (/.f64 y a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 y (/.f64 a (-.f64 z t)))
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localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(*.f64 t (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series10.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	t	@	-inf	(*.f64 t (/.f64 y a))
2.0ms	y	@	0	(*.f64 t (/.f64 y a))
1.0ms	t	@	0	(*.f64 t (/.f64 y a))
1.0ms	a	@	0	(*.f64 t (/.f64 y a))
1.0ms	t	@	inf	(*.f64 t (/.f64 y a))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 t (/.f64 y a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (/.f64 y a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t y) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t y)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t y) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t y) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t y) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) t) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 y)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (/.f64 y a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (/.f64 y a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (/.f64 y a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (/.f64 y a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (/.f64 y a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (/.f64 y a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y a) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (/.f64 y a))))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (*.f64 y t) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	-inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	0	(/.f64 (*.f64 y t) a)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y a) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 t (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y t) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2) (cbrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (*.f64 (cbrt.f64 (*.f64 y t)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y a) t)) (sqrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y t)) (*.f64 (sqrt.f64 (*.f64 y t)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (neg.f64 y)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y t)) 1) (/.f64 (sqrt.f64 (*.f64 y t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 y t) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y t)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 y t)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 y t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 y t)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y a) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y t) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y t) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y a) t)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(/.f64 z (/.f64 a (neg.f64 y)))

Compiler

Compiled 20 to 8 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 z (/.f64 a (neg.f64 y)))
1.0ms	y	@	0	(/.f64 z (/.f64 a (neg.f64 y)))
1.0ms	z	@	0	(/.f64 z (/.f64 a (neg.f64 y)))
1.0ms	a	@	inf	(/.f64 z (/.f64 a (neg.f64 y)))
1.0ms	z	@	inf	(/.f64 z (/.f64 a (neg.f64 y)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	154	7
2	2345	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 z (/.f64 a (neg.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 y a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 y a))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 y a))) 2) (cbrt.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 y a))) (sqrt.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z a) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) a) (/.f64 (sqrt.f64 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) a) (/.f64 (cbrt.f64 z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (/.f64 z (cbrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (cbrt.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a y))) (/.f64 z (sqrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 a y))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 a)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 y a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 y a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 a y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 y a))))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

78 → 44

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(*.f64 y (/.f64 z a))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(*.f64 y (/.f64 z a))
0.0ms	y	@	0	(*.f64 y (/.f64 z a))
0.0ms	y	@	-inf	(*.f64 y (/.f64 z a))
0.0ms	z	@	inf	(*.f64 y (/.f64 z a))
0.0ms	y	@	inf	(*.f64 y (/.f64 z a))

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 y (/.f64 z a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 z a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 z a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 z a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 z a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 z a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 z a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 z a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z a) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 z a))))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)

Outputs
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))

eval67.0ms (0.5%)

Compiler: Compiled 5113 to 1340 computations (73.8% saved)

prune70.0ms (0.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	333	7	340
Fresh	4	3	7
Picked	0	1	1
Done	1	3	4
Total	338	14	352

Error

Counts

352 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	x
▶	50.5b	(*.f64 y (/.f64 t a))
▶	39.0b	(/.f64 (*.f64 y (-.f64 t z)) a)
▶	17.1b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
✓	48.4b	(/.f64 z (/.f64 a (neg.f64 y)))
	49.3b	(*.f64 (/.f64 z (neg.f64 a)) y)
▶	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	50.4b	(*.f64 t (/.f64 y a))
✓	50.9b	(/.f64 (*.f64 y t) a)
✓	16.2b	(-.f64 x (*.f64 y (/.f64 z a)))
	51.0b	(/.f64 1 (/.f64 a (*.f64 t y)))
	50.4b	(/.f64 t (/.f64 a y))
	57.6b	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
▶	48.3b	(*.f64 (neg.f64 z) (/.f64 y a))

Compiler

Compiled 259 to 181 computations (30.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
✓	6.9b	(*.f64 y (/.f64 (neg.f64 t) a))

Compiler

Compiled 29 to 9 computations (69% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
1.0ms	y	@	0	(*.f64 y (/.f64 (neg.f64 t) a))
0.0ms	a	@	0	(*.f64 y (/.f64 (neg.f64 t) a))
0.0ms	t	@	0	(*.f64 y (/.f64 (neg.f64 t) a))
0.0ms	t	@	-inf	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`prod-diff_binary64`
502×	`log-prod_binary64`
313×	`pow-prod-down_binary64`
244×	`pow2_binary64`
205×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	204	17
2	3142	15

Stop Event

1×	node limit

Counts

2 → 237

Calls

Call 1

Inputs
(*.f64 y (/.f64 (neg.f64 t) a))
(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y t) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 t a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (*.f64 y t) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y t) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 a t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y t) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y t) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) t) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) t) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (/.f64 a t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y t) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y t) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y t) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y t) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y t) a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y t) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y t) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y t) a)) 1))))))

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(neg.f64 (cbrt.f64 (/.f64 (*.f64 y t) a))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2)) (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 t a)) (*.f64 (sqrt.f64 (/.f64 t a)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 y t) a)) (sqrt.f64 (/.f64 (*.f64 y t) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 y t) a)) (neg.f64 (sqrt.f64 (/.f64 (*.f64 y t) a))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 y t) a) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 y t) a) (fma.f64 y (/.f64 t a) x) (*.f64 x x))) (fma.f64 (/.f64 t a) y (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 y t) a) 3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 y t) a) (fma.f64 y (/.f64 t a) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 y t) a))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2)) (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (*.f64 y t) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (/.f64 t a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y t) (/.f64 1 a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 y t) a))) (sqrt.f64 (/.f64 (*.f64 y t) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 t a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 y t) a))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 y t) a))) (fma.f64 (/.f64 t a) y (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 y t) a))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 y t) a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 y t) a))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2)) (/.f64 (*.f64 y t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y t) a) 2))) (cbrt.f64 (/.f64 (*.f64 y t) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) t) (/.f64 1 a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) (/.f64 t a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (cbrt.f64 (pow.f64 (/.f64 a t) -2))) (cbrt.f64 (/.f64 t a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 t a))) (sqrt.f64 (/.f64 t a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (/.f64 a t) -2))) (cbrt.f64 (/.f64 t a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (/.f64 t a))) (sqrt.f64 (/.f64 t a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 t a) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 t a) (sqrt.f64 y)) (sqrt.f64 y) x)))))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-def_binary64`
230×	`fma-neg_binary64`
74×	`cancel-sign-sub-inv_binary64`
52×	`associate-/l*_binary64`
42×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	732
1	18	732
2	38	660
3	73	660
4	120	660
5	169	660
6	209	660
7	251	660
8	314	660
9	455	660
10	526	660
11	588	660
12	730	660
13	1019	660
14	1171	660
15	1290	660
16	1295	660

Stop Event

1×

saturated

Counts

321 → 241

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(*.f64 y (/.f64 t a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 y (/.f64 t a))
0.0ms	y	@	0	(*.f64 y (/.f64 t a))
0.0ms	y	@	inf	(*.f64 y (/.f64 t a))
0.0ms	t	@	0	(*.f64 y (/.f64 t a))
0.0ms	t	@	-inf	(*.f64 y (/.f64 t a))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 y (/.f64 t a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 t a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y t) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y t)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 t)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 t a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 t a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 t a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 t a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 t a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 t a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 t a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 t a) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 t a))))))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(*.f64 (neg.f64 z) (/.f64 y a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(*.f64 (neg.f64 z) (/.f64 y a))
1.0ms	a	@	inf	(*.f64 (neg.f64 z) (/.f64 y a))
0.0ms	y	@	inf	(*.f64 (neg.f64 z) (/.f64 y a))
0.0ms	z	@	0	(*.f64 (neg.f64 z) (/.f64 y a))
0.0ms	y	@	-inf	(*.f64 (neg.f64 z) (/.f64 y a))

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
658×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2083	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (neg.f64 z) (/.f64 y a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 y a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (cbrt.f64 (*.f64 a a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) z) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 y)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 y a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 y a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 y a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 y a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y a)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 y a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 y a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y a) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 y a))))))))

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

60 → 26

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
	4.3b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	x	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	x	@	0	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	y	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	t	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2592	8

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y a) t x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (-.f64 (*.f64 (/.f64 y a) t) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y a) t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 y a) t x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 y a) t x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 y a) t x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y a) t x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y a) t x)) 2) (cbrt.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 y a) t x)) (sqrt.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 (/.f64 y a) t)) (pow.f64 (*.f64 (/.f64 y a) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 (/.f64 y a) t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y a) t)) (pow.f64 (*.f64 (/.f64 y a) t) 2)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (/.f64 y a) t) x) (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (*.f64 (/.f64 y a) t)) (pow.f64 (*.f64 (/.f64 y a) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 (*.f64 (/.f64 y a) t) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y a) t) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y a) t)) (pow.f64 (*.f64 (/.f64 y a) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 y a) t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) t) 2)) (-.f64 x (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 y a) t x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y a) t x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y a) t x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 y a) t x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 y a) t x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 y a) t)) (pow.f64 (*.f64 (/.f64 y a) t) 2)) (+.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 y a) t) x) (-.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 y a) t x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 y a) t x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) t))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 y a) t)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) t))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (/.f64 y a) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 y a) t x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 y a) t x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 y a) t x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (/.f64 a t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 t (/.f64 1 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 y (/.f64 1 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y t) (/.f64 1 a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y a) t) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 y a) t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2) (cbrt.f64 (*.f64 (/.f64 y a) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (*.f64 (cbrt.f64 (*.f64 y t)) (/.f64 1 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 y a) t)) (sqrt.f64 (*.f64 (/.f64 y a) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y t)) (*.f64 (sqrt.f64 (*.f64 y t)) (/.f64 1 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (neg.f64 t)) (/.f64 1 (neg.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (*.f64 y t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 t a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t 1) (/.f64 y a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y a) t x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y t)) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 y t)) 1) (/.f64 (sqrt.f64 (*.f64 y t)) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (*.f64 y t) (cbrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 y a) t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 y t)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 y t)) (cbrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a -1/2) (/.f64 (*.f64 y t) (sqrt.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 y t)) (sqrt.f64 a)) x)))))

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	10	48
2	14	48
3	17	48
4	18	48

Stop Event

1×

saturated

Counts

82 → 73

Calls

Call 1

Inputs
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
x
(/.f64 (*.f64 y t) a)
x
x

Outputs
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 t z))
✓	7.2b	(/.f64 (*.f64 y (-.f64 t z)) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series60.0ms (0.5%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
50.0ms	t	@	0	(*.f64 y (-.f64 t z))
1.0ms	y	@	0	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	a	@	0	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	t	@	-inf	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	t	@	inf	(*.f64 y (-.f64 t z))

rewrite126.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
386×	`prod-diff_binary64`
381×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2595	17

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 y (-.f64 t z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y a) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 t z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 t z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y a) (-.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (-.f64 t z) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t z) (*.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 t z)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) (-.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y a) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) (cbrt.f64 (pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -2)) (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) 2) (*.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) (*.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (-.f64 t z))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 y (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t z) 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) (-.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) 1) (/.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 t z) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t z) (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (*.f64 y (-.f64 t z)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 a)) (/.f64 (-.f64 t z) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t z) (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 y (-.f64 t z)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y a) (-.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 t z)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 y (-.f64 t z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (-.f64 t z)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 t z)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 t z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 y (-.f64 t z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y t) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 t z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 t z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 t 3) (pow.f64 z 3)) y) (fma.f64 z (+.f64 t z) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 z z)) y) (+.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 z (+.f64 t z) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 t t) (*.f64 z z))) (+.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 t z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (-.f64 t z)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (-.f64 t z))))) (sqrt.f64 (log.f64 (*.f64 y (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 t z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (-.f64 t z)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (-.f64 t z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (-.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (-.f64 t z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y t (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t y (*.f64 (neg.f64 z) y))))))

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary64`
492×	`fma-def_binary64`
192×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
104×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	600
1	30	546
2	64	384
3	131	384
4	235	384
5	414	384
6	721	384
7	1269	384
8	2146	384
9	2864	384
10	2999	384
11	3013	384
12	3018	384
13	3022	384

Stop Event

1×

saturated

Counts

137 → 100

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(/.f64 (neg.f64 (*.f64 y z)) a)
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(/.f64 (*.f64 z (neg.f64 y)) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(/.f64 (neg.f64 (*.f64 y z)) a)
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(/.f64 (*.f64 z (neg.f64 y)) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(/.f64 (neg.f64 (*.f64 y z)) a)
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(/.f64 (*.f64 z (neg.f64 y)) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y z)) a) (/.f64 y (/.f64 a t)))
(-.f64 (.f64 (/.f64 y a) t) (.f64 (/.f64 y a) z))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(*.f64 y t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y t))
(fma.f64 -1 (.f64 y z) (.f64 y t))
(fma.f64 (neg.f64 y) z (*.f64 y t))
(*.f64 y (-.f64 t z))

eval244.0ms (2%)

Compiler: Compiled 9025 to 2691 computations (70.2% saved)

prune179.0ms (1.5%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	502	2	504
Fresh	1	4	5
Picked	0	1	1
Done	1	7	8
Total	504	14	518

Error

Counts

518 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	x
✓	50.5b	(*.f64 y (/.f64 t a))
▶	50.3b	(/.f64 y (/.f64 a t))
▶	50.9b	(/.f64 (*.f64 z (neg.f64 y)) a)
✓	39.0b	(/.f64 (*.f64 y (-.f64 t z)) a)
✓	17.1b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
✓	48.4b	(/.f64 z (/.f64 a (neg.f64 y)))
▶	49.3b	(*.f64 (/.f64 z (neg.f64 a)) y)
✓	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	50.4b	(*.f64 t (/.f64 y a))
✓	50.9b	(/.f64 (*.f64 y t) a)
✓	16.2b	(-.f64 x (*.f64 y (/.f64 z a)))
▶	50.4b	(/.f64 t (/.f64 a y))
▶	57.6b	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))

Compiler

Compiled 208 to 145 computations (30.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(*.f64 (/.f64 z (neg.f64 a)) y)

Compiler

Compiled 20 to 8 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 (/.f64 z (neg.f64 a)) y)
0.0ms	z	@	inf	(*.f64 (/.f64 z (neg.f64 a)) y)
0.0ms	z	@	-inf	(*.f64 (/.f64 z (neg.f64 a)) y)
0.0ms	a	@	inf	(*.f64 (/.f64 z (neg.f64 a)) y)
0.0ms	a	@	-inf	(*.f64 (/.f64 z (neg.f64 a)) y)

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`pow1_binary64`
644×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2091	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (/.f64 z (neg.f64 a)) y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 z y) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z y)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) -1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z y) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z y) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z y) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z y) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z y) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z y) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z a) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z y) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z y) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z y) a)))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

60 → 26

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 t (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(/.f64 t (/.f64 a y))
0.0ms	t	@	inf	(/.f64 t (/.f64 a y))
0.0ms	a	@	inf	(/.f64 t (/.f64 a y))
0.0ms	y	@	-inf	(/.f64 t (/.f64 a y))
0.0ms	a	@	-inf	(/.f64 t (/.f64 a y))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 t (/.f64 a y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (/.f64 y a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t (/.f64 y a))) (pow.f64 (cbrt.f64 (*.f64 t (/.f64 y a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (/.f64 y a))) 2) (cbrt.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (/.f64 y a))) (sqrt.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (/.f64 (neg.f64 a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t a) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 t (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) a) (/.f64 (cbrt.f64 t) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) a) (/.f64 (sqrt.f64 t) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (/.f64 t (cbrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (cbrt.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (/.f64 a y)) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a y))) (/.f64 t (sqrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (/.f64 a y))) (/.f64 (cbrt.f64 t) (sqrt.f64 (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (neg.f64 a)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t a) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t a) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 t a) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (/.f64 y a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (/.f64 y a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (/.f64 y a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (/.f64 y a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 t y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (/.f64 (neg.f64 a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (/.f64 y a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (/.f64 y a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (/.f64 a y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (/.f64 y a))))))))

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 y (/.f64 a t))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 y (/.f64 a t))
0.0ms	a	@	-inf	(/.f64 y (/.f64 a t))
0.0ms	y	@	-inf	(/.f64 y (/.f64 a t))
0.0ms	a	@	inf	(/.f64 y (/.f64 a t))
0.0ms	t	@	inf	(/.f64 y (/.f64 a t))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 y (/.f64 a t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 t a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 t a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 t a))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 t a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 t a))) 2) (cbrt.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 t a))) (sqrt.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t a) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 y (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) a) (/.f64 (cbrt.f64 y) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) a) (/.f64 (sqrt.f64 y) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 y (cbrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (cbrt.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 a t))) (/.f64 y (sqrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 a t))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 a)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 t a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 t a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 t a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 t a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 t a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 t a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 a t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 t a))))))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.0b	(/.f64 (*.f64 z (neg.f64 y)) a)

Compiler

Compiled 20 to 8 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (*.f64 z (neg.f64 y)) a)
0.0ms	z	@	inf	(/.f64 (*.f64 z (neg.f64 y)) a)
0.0ms	a	@	inf	(/.f64 (*.f64 z (neg.f64 y)) a)
0.0ms	y	@	inf	(/.f64 (*.f64 z (neg.f64 y)) a)
0.0ms	z	@	-inf	(/.f64 (*.f64 z (neg.f64 y)) a)

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 z (neg.f64 y)) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z a) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 z (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z y) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z y) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z a) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (*.f64 (cbrt.f64 (*.f64 z y)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z a) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) y)) 2) (cbrt.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z y)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z a) y)) (sqrt.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z a) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z y)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) 1) (/.f64 (sqrt.f64 (*.f64 z y)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 z (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 z y) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z y)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 z y)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 a)) (/.f64 z (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 z y) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 z y)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z a) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z a) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z a) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 z a) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z a) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z a) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z a) y)))))))

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

77 → 43

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sqrt.f64 a))
✓	0.1b	(/.f64 t (sqrt.f64 a))
✓	2.0b	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series30.0ms (0.2%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
18.0ms	y	@	-inf	(/.f64 y (sqrt.f64 a))
1.0ms	a	@	-inf	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
1.0ms	a	@	0	(/.f64 t (sqrt.f64 a))
1.0ms	a	@	-inf	(/.f64 t (sqrt.f64 a))
1.0ms	t	@	0	(/.f64 t (sqrt.f64 a))

rewrite128.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`pow1_binary64`
900×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2475	19

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(/.f64 t (sqrt.f64 a))
(/.f64 y (sqrt.f64 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 a t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 (sqrt.f64 a) t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (sqrt.f64 a) (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 a)) (/.f64 (sqrt.f64 a) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (/.f64 (sqrt.f64 a) y) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (sqrt.f64 a) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 a) y) (/.f64 (sqrt.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 a) t) (/.f64 (sqrt.f64 a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 a) (*.f64 (/.f64 y (sqrt.f64 a)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 (sqrt.f64 a) t) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 t) (*.f64 (/.f64 (sqrt.f64 a) y) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y t) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sqrt.f64 a)) t) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y t)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 y (sqrt.f64 a)) t)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) t) (*.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 (sqrt.f64 a)) (/.f64 (sqrt.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 t)) (*.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) y) (*.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) 1) (*.f64 (neg.f64 (sqrt.f64 a)) (/.f64 (sqrt.f64 a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 y)) (*.f64 (sqrt.f64 a) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y t) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 a)) t) 1) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 a)) t) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 y (sqrt.f64 a)) t) (pow.f64 a 1/4)) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 t (sqrt.f64 a))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 t) (/.f64 y (sqrt.f64 a))) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (sqrt.f64 a)) (neg.f64 t)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 t (sqrt.f64 a)) (neg.f64 y)) (neg.f64 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 a t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 a t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 a t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 a t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 a t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 a t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 a t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 a)) 3) (pow.f64 (/.f64 t (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 t (sqrt.f64 a)) 3) (pow.f64 (/.f64 y (sqrt.f64 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 a t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 t (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 t (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 t t) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 t t) a)) (cbrt.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 t (sqrt.f64 a))) (sqrt.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 t (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 t (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 a)) (/.f64 (sqrt.f64 t) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 t) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 t t) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (sqrt.f64 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (sqrt.f64 a))) (cbrt.f64 (/.f64 (*.f64 y y) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) a)) (cbrt.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (sqrt.f64 a))) (sqrt.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) (/.f64 y (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 a)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 a 1/4)) (/.f64 y (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 a 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 a 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 a 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 a))))))))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1260×	`div-sub_binary64`
537×	`distribute-neg-frac_binary64`
506×	`fma-neg_binary64`
397×	`distribute-rgt-neg-in_binary64`
325×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	468
1	41	468
2	122	468
3	413	468
4	1800	468
5	3323	468
6	5525	468
7	7367	468

Stop Event

1×	node limit

Counts

173 → 119

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 (sqrt.f64 (/.f64 1 a)) y)

Outputs
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(.f64 -1 (/.f64 (.f64 y t) (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) t)
(*.f64 t (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))
(*.f64 (sqrt.f64 (/.f64 1 a)) y)
(*.f64 y (sqrt.f64 (/.f64 1 a)))

eval94.0ms (0.8%)

Compiler: Compiled 2804 to 946 computations (66.3% saved)

prune79.0ms (0.6%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	1	1
Picked	0	1	1
Done	0	12	12
Total	272	14	286

Error

Counts

286 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	x
✓	50.5b	(*.f64 y (/.f64 t a))
✓	50.3b	(/.f64 y (/.f64 a t))
✓	50.9b	(/.f64 (*.f64 z (neg.f64 y)) a)
✓	39.0b	(/.f64 (*.f64 y (-.f64 t z)) a)
✓	17.1b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
✓	48.4b	(/.f64 z (/.f64 a (neg.f64 y)))
✓	49.3b	(*.f64 (/.f64 z (neg.f64 a)) y)
✓	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	50.4b	(*.f64 t (/.f64 y a))
✓	50.9b	(/.f64 (*.f64 y t) a)
✓	16.2b	(-.f64 x (*.f64 y (/.f64 z a)))
✓	50.4b	(/.f64 t (/.f64 a y))
✓	57.6b	(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))

Compiler

Compiled 152 to 106 computations (30.3% saved)

regimes558.0ms (4.5%)

Counts

23 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(*.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) 2))

Outputs
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(fma.f64 y (/.f64 (-.f64 t z) a) x)

Calls

12 calls:

91.0ms	(*.f64 y (-.f64 z t))
70.0ms	z
59.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
59.0ms	(-.f64 z t)
55.0ms	a

Results

Error	Segments	Branch
3.8b	1	`x`
0.1b	3	`y`
2.8b	3	`z`
3.8b	1	`t`
0.1b	3	`a`
0.1b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
0.1b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.1b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.1b	3	`(*.f64 y (-.f64 z t))`
0.1b	3	`(*.f64 y (-.f64 z t))`
3.8b	1	`(-.f64 z t)`
3.8b	1	`(-.f64 z t)`

Compiler

Compiled 256 to 137 computations (46.5% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	4.561245565742529e-60	7.293431442131194e-60
24.0ms	-1.3804930328694653e+42	-9.451920588595159e+37

Compiler

Compiled 51 to 35 computations (31.4% saved)

regimes705.0ms (5.7%)

Counts

20 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))

Outputs
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (*.f64 y (/.f64 z a)))

Calls

11 calls:

124.0ms	y
110.0ms	(*.f64 y (-.f64 z t))
101.0ms	z
79.0ms	a
69.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

Results

Error	Segments	Branch
5.8b	1	`x`
4.8b	2	`y`
4.8b	2	`z`
5.8b	1	`t`
4.8b	2	`a`
2.0b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
2.0b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
2.0b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
2.0b	3	`(*.f64 y (-.f64 z t))`
2.0b	3	`(*.f64 y (-.f64 z t))`
5.8b	1	`(-.f64 z t)`

Compiler

Compiled 219 to 120 computations (45.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2146818118707144e+286	1.7485147695842074e+288
0.0ms	-inf	-1.3864552458267056e+304

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes725.0ms (5.9%)

Counts

18 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))

Outputs
(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
(-.f64 x (*.f64 y (/.f64 z a)))
(+.f64 (/.f64 (*.f64 y t) a) x)

Calls

5 calls:

181.0ms	x
174.0ms	z
138.0ms	y
112.0ms	a
89.0ms	t

Results

Error	Segments	Branch
9.1b	8	`x`
11.4b	5	`y`
8.7b	3	`z`
8.6b	3	`t`
11.6b	4	`a`

Compiler

Compiled 133 to 67 computations (49.6% saved)

bsearch77.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1190516.9400455246	31562554762688.375
28.0ms	-805.4171436125572	-9.067508065422552e-18

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes215.0ms (1.7%)

Counts

17 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))

Outputs
(-.f64 x (*.f64 y (/.f64 z a)))
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))

Calls

5 calls:

81.0ms	a
46.0ms	x
29.0ms	z
27.0ms	t
27.0ms	y

Results

Error	Segments	Branch
10.8b	4	`x`
12.6b	3	`y`
9.2b	3	`z`
10.0b	3	`t`
10.5b	6	`a`

Compiler

Compiled 125 to 63 computations (49.6% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.204094872476087e-56	4.3683191188481054e-52
22.0ms	-3.1634017390530787e-55	-2.4224183395994475e-62

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes239.0ms (1.9%)

Counts

16 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 z (/.f64 a (neg.f64 y)))
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y t) a) x)

Calls

5 calls:

84.0ms	z
79.0ms	x
42.0ms	a
20.0ms	y
9.0ms	t

Results

Error	Segments	Branch
12.1b	5	`x`
17.7b	1	`y`
13.2b	6	`z`
17.7b	1	`t`
14.8b	5	`a`

Compiler

Compiled 118 to 60 computations (49.2% saved)

bsearch85.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	1.8495272509234792e-126	1.3972255542640223e-120
21.0ms	-1.7510344433515037e-172	-3.207698952692267e-178
21.0ms	-3.4895069410611724e-137	-2.089186715842712e-137
22.0ms	-9.729848090895173e-110	-6.109489961524187e-112

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes243.0ms (2%)

Counts

15 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(/.f64 (*.f64 y (-.f64 t z)) a)

Outputs
x
(/.f64 (*.f64 y (-.f64 t z)) a)
x
(/.f64 (*.f64 y (-.f64 t z)) a)
x

Calls

5 calls:

53.0ms	z
53.0ms	t
47.0ms	x
46.0ms	y
39.0ms	a

Results

Error	Segments	Branch
15.9b	5	`x`
24.2b	5	`y`
23.0b	7	`z`
22.2b	7	`t`
20.3b	5	`a`

Compiler

Compiled 111 to 59 computations (46.8% saved)

bsearch87.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	7.140766910416544e-72	8.354469123648046e-64
22.0ms	-2.472983676869023e-83	-1.1431966501603281e-85
22.0ms	-2.4950239964298727e-36	-1.7144880991661384e-39
21.0ms	-3579062875979496000.0	-112494380607198020.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes209.0ms (1.7%)

Counts

14 → 6

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 y (/.f64 (neg.f64 z) a))
(/.f64 z (/.f64 a (neg.f64 y)))
(/.f64 1 (/.f64 a (*.f64 t y)))

Outputs
x
(/.f64 (*.f64 y t) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(/.f64 y (/.f64 a t))
(*.f64 (neg.f64 z) (/.f64 y a))
x

Calls

5 calls:

74.0ms	a
46.0ms	x
38.0ms	z
31.0ms	t
15.0ms	y

Results

Error	Segments	Branch
20.2b	6	`x`
27.7b	2	`y`
24.2b	5	`z`
25.5b	4	`t`
23.8b	10	`a`

Compiler

Compiled 104 to 56 computations (46.2% saved)

bsearch313.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
203.0ms	7.140766910416544e-72	8.354469123648046e-64
21.0ms	-2.6386329653016047e-250	-1.952122534162079e-259
46.0ms	-2.5632190709826754e-130	-3.4895069410611724e-137
21.0ms	-9.729848090895173e-110	-6.109489961524187e-112
22.0ms	-1.631652995356941e-86	-6.016765421401446e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes166.0ms (1.3%)

Counts

10 → 6

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(*.f64 (/.f64 z (neg.f64 a)) y)

Outputs
x
(/.f64 (*.f64 y t) a)
(*.f64 (/.f64 z (neg.f64 a)) y)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 z (neg.f64 a)) y)
x

Calls

5 calls:

60.0ms	a
39.0ms	x
24.0ms	z
24.0ms	t
14.0ms	y

Results

Error	Segments	Branch
20.6b	6	`x`
27.7b	2	`y`
25.9b	4	`z`
25.5b	4	`t`
23.8b	10	`a`

Compiler

Compiled 79 to 46 computations (41.8% saved)

bsearch198.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
38.0ms	7.140766910416544e-72	8.354469123648046e-64
37.0ms	-8.733688695047591e-299	-8.869719332268688e-305
40.0ms	-2.5632190709826754e-130	-3.4895069410611724e-137
40.0ms	-9.729848090895173e-110	-6.109489961524187e-112
41.0ms	-1.631652995356941e-86	-6.016765421401446e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes151.0ms (1.2%)

Counts

9 → 9

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)

Outputs
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 z (neg.f64 y)) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 z (neg.f64 y)) a)
(/.f64 (*.f64 y t) a)
x
(*.f64 t (/.f64 y a))
x

Calls

5 calls:

48.0ms	a
47.0ms	x
24.0ms	t
22.0ms	z
6.0ms	y

Results

Error	Segments	Branch
20.7b	9	`x`
29.1b	1	`y`
26.4b	4	`z`
25.5b	4	`t`
25.0b	8	`a`

Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch191.0ms (1.5%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
23.0ms	2149141.061362807	1276007934471.9053
24.0ms	1.6368081122149312e-57	5.055132327729347e-53
24.0ms	6.933210449614127e-127	1.8495272509234792e-126
24.0ms	7.869915740082897e-231	1.0331278728247974e-228
27.0ms	-8.733688695047591e-299	-8.869719332268688e-305
24.0ms	-4.5359721866976623e-147	-5.912263150968727e-151
24.0ms	-9.729848090895173e-110	-6.109489961524187e-112
22.0ms	-1.631652995356941e-86	-6.016765421401446e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes85.0ms (0.7%)

Counts

8 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(*.f64 t (/.f64 y a))
(/.f64 (*.f64 y t) a)

Outputs
x
(*.f64 t (/.f64 y a))
x
(/.f64 y (/.f64 a t))
x

Calls

5 calls:

32.0ms	x
22.0ms	t
17.0ms	a
7.0ms	z
5.0ms	y

Results

Error	Segments	Branch
23.6b	5	`x`
29.1b	1	`y`
29.1b	1	`z`
25.5b	4	`t`
27.8b	3	`a`

Compiler

Compiled 67 to 40 computations (40.3% saved)

bsearch95.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	6.933210449614127e-127	1.8495272509234792e-126
23.0ms	-1.7510344433515037e-172	-3.207698952692267e-178
23.0ms	-3.4895069410611724e-137	-2.089186715842712e-137
25.0ms	-1.631652995356941e-86	-6.016765421401446e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes99.0ms (0.8%)

Counts

6 → 5

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))

Outputs
x
(/.f64 t (/.f64 a y))
x
(/.f64 y (/.f64 a t))
x

Calls

5 calls:

47.0ms	x
19.0ms	t
16.0ms	a
10.0ms	z
5.0ms	y

Results

Error	Segments	Branch
23.6b	5	`x`
29.1b	1	`y`
29.1b	1	`z`
25.5b	4	`t`
27.9b	3	`a`

Compiler

Compiled 57 to 36 computations (36.8% saved)

bsearch116.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	6.933210449614127e-127	1.8495272509234792e-126
23.0ms	-1.7510344433515037e-172	-3.207698952692267e-178
26.0ms	-3.4895069410611724e-137	-2.089186715842712e-137
28.0ms	-1.631652995356941e-86	-6.016765421401446e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes101.0ms (0.8%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))

Outputs
x
(/.f64 y (/.f64 a t))
x

Calls

5 calls:

36.0ms	x
32.0ms	t
11.0ms	a
10.0ms	z
9.0ms	y

Results

Error	Segments	Branch
25.0b	3	`x`
29.1b	1	`y`
29.1b	1	`z`
25.5b	4	`t`
29.1b	1	`a`

Compiler

Compiled 47 to 34 computations (27.7% saved)

bsearch75.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	6.933210449614127e-127	1.8495272509234792e-126
39.0ms	-6.016765421401446e-101	-3.7792601032968964e-101

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes39.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
x

Outputs
x

Calls

5 calls:

8.0ms	t
8.0ms	x
7.0ms	z
7.0ms	a
7.0ms	y

Results

Error	Segments	Branch
29.1b	1	`x`
29.1b	1	`y`
29.1b	1	`z`
29.1b	1	`t`
29.1b	1	`a`

Compiler

Compiled 37 to 30 computations (18.9% saved)

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

90×	`distribute-rgt-neg-in_binary64`
74×	`cancel-sign-sub-inv_binary64`
64×	`neg-sub0_binary64`
64×	`neg-mul-1_binary64`
63×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	651
1	173	649
2	226	649
3	282	649
4	336	649
5	404	649
6	523	649
7	643	649
8	743	649
9	793	649
10	813	649
11	822	649
12	826	649

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -1380493032869465325253561935959509849604096) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 a 578960446186580992/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) -inf.0) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 t -7084524116897113/8796093022208) (-.f64 x (.f64 y (/.f64 (neg.f64 t) a))) (if (<=.f64 t 5113231322829521/4294967296) (-.f64 x (.f64 y (/.f64 z a))) (+.f64 (/.f64 (*.f64 y t) a) x)))
(if (<=.f64 z -8733198558376201/27606985387162255149739023449108101809804435888681546220650096895197184) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 z 5318628727872693/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (/.f64 (.f64 y t) a) x) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 z (/.f64 a (neg.f64 y))) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 x 5773759014340293632/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (.f64 y (-.f64 t z)) a) (+.f64 (/.f64 (.f64 y t) a) x)))))
(if (<=.f64 x -3579062875979495936) x (if (<=.f64 x -7467994431410487/2993155353253689176481146537402947624255349848014848) (/.f64 (.f64 y (-.f64 t z)) a) (if (<=.f64 x -3380647087255205/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) x (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 (.f64 y (-.f64 t z)) a) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 (/.f64 z (neg.f64 a)) y) (if (<=.f64 x -8508150422626473/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 (neg.f64 z) (/.f64 y a)) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 (/.f64 z (neg.f64 a)) y) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 (/.f64 z (neg.f64 a)) y) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (.f64 y t) a) (if (<=.f64 x -261208932382699264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 3439113780620237/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (.f64 y t) a) (if (<=.f64 x 5783979217344799/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 x 9230490573043986/4294967296) (*.f64 t (/.f64 y a)) x))))))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 t (/.f64 y a)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 t (/.f64 a y)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -2370726284163118/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))
x

Outputs
(if (<=.f64 a -1380493032869465325253561935959509849604096) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 a 578960446186580992/115792089237316195423570985008687907853269984665640564039457584007913129639936) (-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 a -1380493032869465325253561935959509849604096) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 a 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 a -1380493032869465325253561935959509849604096) (fma.f64 y (/.f64 (-.f64 t z) a) x) (if (<=.f64 a 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (+.f64 x (/.f64 (*.f64 y (-.f64 t z)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) -inf.0) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) -inf.0) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 t -7084524116897113/8796093022208) (-.f64 x (.f64 y (/.f64 (neg.f64 t) a))) (if (<=.f64 t 5113231322829521/4294967296) (-.f64 x (.f64 y (/.f64 z a))) (+.f64 (/.f64 (*.f64 y t) a) x)))
(if (<=.f64 t -7084524116897113/8796093022208) (-.f64 x (.f64 y (/.f64 (neg.f64 t) a))) (if (<=.f64 t 5113231322829521/4294967296) (-.f64 x (.f64 y (/.f64 z a))) (+.f64 x (/.f64 (*.f64 y t) a))))
(if (<=.f64 t -7084524116897113/8796093022208) (+.f64 x (.f64 (/.f64 t a) y)) (if (<=.f64 t 5113231322829521/4294967296) (-.f64 x (.f64 y (/.f64 z a))) (+.f64 x (/.f64 (*.f64 y t) a))))
(if (<=.f64 t -7084524116897113/8796093022208) (+.f64 x (.f64 y (/.f64 t a))) (if (<=.f64 t 5113231322829521/4294967296) (-.f64 x (.f64 y (/.f64 z a))) (+.f64 x (/.f64 (*.f64 y t) a))))
(if (<=.f64 z -8733198558376201/27606985387162255149739023449108101809804435888681546220650096895197184) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 z 5318628727872693/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 (/.f64 (.f64 y t) a) x) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 z -8733198558376201/27606985387162255149739023449108101809804435888681546220650096895197184) (-.f64 x (.f64 y (/.f64 z a))) (if (<=.f64 z 5318628727872693/441711766194596082395824375185729628956870974218904739530401550323154944) (+.f64 x (/.f64 (.f64 y t) a)) (-.f64 x (*.f64 y (/.f64 z a)))))
(if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 z (/.f64 a (neg.f64 y))) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 x 5773759014340293632/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (.f64 y (-.f64 t z)) a) (+.f64 (/.f64 (.f64 y t) a) x)))))
(if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (+.f64 x (/.f64 (.f64 y t) a)) (if (<=.f64 x -913801539764643/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (/.f64 z (/.f64 a (neg.f64 y))) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (+.f64 x (/.f64 (.f64 y t) a)) (if (<=.f64 x 5638436537441693/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424) (/.f64 (.f64 y (-.f64 t z)) a) (+.f64 x (/.f64 (.f64 y t) a))))))
(if (<=.f64 x -3579062875979495936) x (if (<=.f64 x -7467994431410487/2993155353253689176481146537402947624255349848014848) (/.f64 (.f64 y (-.f64 t z)) a) (if (<=.f64 x -3380647087255205/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) x (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 (.f64 y (-.f64 t z)) a) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 (/.f64 z (neg.f64 a)) y) (if (<=.f64 x -8508150422626473/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 (neg.f64 z) (/.f64 y a)) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 y (/.f64 z (neg.f64 a))) (if (<=.f64 x -8508150422626473/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 (neg.f64 z) (/.f64 y a)) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 y (/.f64 z (neg.f64 a))) (if (<=.f64 x -8508150422626473/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 z (neg.f64 (/.f64 y a))) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 y (/.f64 z (neg.f64 a))) (if (<=.f64 x -8508150422626473/32244539253885818258809801325470984284597615114509370247067914369303827060346976286280350090799388909587060241287666545341940158661052584060701841947200901910912273193298650156782929545680324771302748590589061792245363054977512313161523248215761503691988438775496704) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 z (/.f64 (neg.f64 y) a)) x)))))
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(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -6401380335185977/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 y (/.f64 z (neg.f64 a))) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 7102538620672537/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (*.f64 y (/.f64 z (neg.f64 a))) x)))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -16465853839126168/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (/.f64 (.f64 y t) a) (if (<=.f64 x -261208932382699264/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 3439113780620237/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 (.f64 y t) a) (if (<=.f64 x 5783979217344799/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 x 9230490573043986/4294967296) (*.f64 t (/.f64 y a)) x))))))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -1020347392119919/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 3439113780620237/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536) (/.f64 (.f64 z (neg.f64 y)) a) (if (<=.f64 x 4227292904320037/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 (.f64 y t) a) (if (<=.f64 x 5783979217344799/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 x 4615245286521993/2147483648) (*.f64 t (/.f64 y a)) x))))))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -2058231729890771/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 (.f64 y t) a) (if (<=.f64 x -1020347392119919/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736) (/.f64 (.f64 y (neg.f64 z)) a) (if (<=.f64 x -8231579659330741/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 y (/.f64 a t)) (if (<=.f64 x 3439113780620237/436994993873214129706097166956708350993678881411295357199729151951767944417616335439228580716318181998128654620651240845861768505204366709906692902245553277900892247131030458103436298545516643924637451297481464347472084863384057367177715867713536) (/.f64 (.f64 y (neg.f64 z)) a) (if (<=.f64 x 4227292904320037/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 (.f64 y t) a) (if (<=.f64 x 5783979217344799/3533694129556768659166595001485837031654967793751237916243212402585239552) x (if (<=.f64 x 4615245286521993/2147483648) (*.f64 t (/.f64 y a)) x))))))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 t (/.f64 y a)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -913801539764643/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (*.f64 t (/.f64 y a)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 4227292904320037/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -467866388359497216/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (/.f64 t (/.f64 a y)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -4568107771761717/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472) x (if (<=.f64 x -913801539764643/26187124863169134960105517574620793217733136368344518315866330944769070371237396439066160738607233257207093473020480568073738052367083144426628220715008) (/.f64 t (/.f64 a y)) (if (<=.f64 x -3047558085328053/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) x (if (<=.f64 x 4227292904320037/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 y (/.f64 a t)) x))))
(if (<=.f64 x -2370726284163118/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) x (if (<=.f64 x 2164373967011858944/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) (/.f64 y (/.f64 a t)) x))
(if (<=.f64 x -1185363142081559/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408) x (if (<=.f64 x 4227292904320037/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (/.f64 y (/.f64 a t)) x))
x

Compiler

Compiled 515 to 273 computations (47% saved)

soundness229.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Compiler

Compiled 206 to 136 computations (34% saved)

end141.0ms (1.1%)

Compiler: Compiled 455 to 169 computations (62.9% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	135	651
1	173	649
2	226	649
3	282	649
4	336	649
5	404	649
6	523	649
7	643	649
8	743	649
9	793	649
10	813	649
11	822	649
12	826	649

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	135	651
1	173	649
2	226	649
3	282	649
4	336	649
5	404	649
6	523	649
7	643	649
8	743	649
9	793	649
10	813	649
11	822	649
12	826	649

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	135	651
1	173	649
2	226	649
3	282	649
4	336	649
5	404	649
6	523	649
7	643	649
8	743	649
9	793	649
10	813	649
11	822	649
12	826	649